TY - JOUR
T1 - Finite differences in homogeneous discontinuous control
AU - Levant, Arie
PY - 2007/7
Y1 - 2007/7
N2 - Finite differences are shown to be applicable to the on-line estimation of arbitrary-order derivatives in homogeneous discontinuous control. An output-feedback controller is produced from any finite-time-stable r-sliding homogeneous controller, capable to control the output of any smooth uncertain single-input-single-output system of a known permanent relative degree r. Variable sampling step feedback is proposed, in the absence of noises providing for the utmost r-sliding accuracy corresponding to the minimal possible sampling interval. In the presence of noises the tracking accuracy is proportional to the unknown noise magnitude. Theoretical results are confirmed by computer simulation.
AB - Finite differences are shown to be applicable to the on-line estimation of arbitrary-order derivatives in homogeneous discontinuous control. An output-feedback controller is produced from any finite-time-stable r-sliding homogeneous controller, capable to control the output of any smooth uncertain single-input-single-output system of a known permanent relative degree r. Variable sampling step feedback is proposed, in the absence of noises providing for the utmost r-sliding accuracy corresponding to the minimal possible sampling interval. In the presence of noises the tracking accuracy is proportional to the unknown noise magnitude. Theoretical results are confirmed by computer simulation.
KW - High-order sliding mode
KW - Homogeneity
KW - Output feedback control
KW - Robustness
UR - http://www.scopus.com/inward/record.url?scp=34547132556&partnerID=8YFLogxK
U2 - 10.1109/TAC.2007.900825
DO - 10.1109/TAC.2007.900825
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AN - SCOPUS:34547132556
VL - 52
SP - 1208
EP - 1217
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 7
ER -